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Finding the Third Proportional to 128,110,719,702 and 275,501,662,178

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Solution

The third proportional to 128,110,719,702 and 275,501,662,178 is: 592,465,377,131.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,110,719,702 : 275,501,662,178 = 275,501,662,178 : x
  2. Step 2: Convert to fraction form
    128,110,719,702/275,501,662,178 = 275,501,662,178/x
  3. Step 3: Cross multiply
    128,110,719,702x = 275,501,662,178 × 275,501,662,178
  4. Step 4: Simplify right side
    128,110,719,702x = 75,901,165,862,840,831,049,728
  5. Step 5: Solve for x
    x = 75,901,165,862,840,831,049,728/128,110,719,702
  6. Step 6: Final answer
    x = 592,465,377,131.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.